What is the answer to |3x-9|=x-1 ?

The answer to |3x-9|=x-1 is x= 5/2 \lor x=4

Solve for x: |3x-9|=x-1

The solution is x= 5/2 \lor x=4

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∣ 3 x - 9 ∣ = x - 1

x = \frac{5}{2} or x = 4

Decimal Notation

x = 2.5, x = 4

Solution steps

∣ 3 x - 9 ∣ = x - 1

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = \frac{5}{2} or x = 4

∣ 4 x + 8 ∣ + 12 = 4

- 1 = - ∣ x + 1 ∣

3 ∣ y + 1 ∣ - 15 = 0

2 ∣ x + 1 ∣ - 3 = - 3

7 ∣ g + 9 ∣ = 7